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Home All issues Volume 494 / No 2 (February I 2009) A&A, 494 2 (2009) 471-488 Full HTML
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Table 5:

Fits to the data (b = 0.25).
Relationship Slope Y intercept $\chi^2$ Corr.?
T vs. 1 + z $ -2.00 \pm 0.2 $ $ 6.1 \pm 0.5 $ 90.6 Y
Log T vs. Log (1 + z) $ -1.80 \pm 0.2 $ $ 0.9 \pm 0.06 $ 100.8 Y
T vs. r $ -4.00 \pm 1.4 \times 10^{-3}$ $ 2.5 \pm 0.3 $ 181.6 N
Log T vs. Log r $ -0.25 \pm 0.11 $ $ 1 \pm 0.2 $ 183 N
$E_{\rm T}$ vs. 1 + z $ 1.70 \pm 0.3 $ $ -1.1 \pm 0.5 $ 92.8 Y
Log $E_{\rm T}$ vs. Log (1 + z) $ 1.80 \pm 0.2 $ $ -0.1 \pm 0.06 $ 100.8 Y
$E_{\rm T}$ vs. r $ 1.40 \pm 1.4 \times 10^{-3}$ $ 1.5 \pm 0.2 $ 138 N
Log $E_{\rm T}$ vs. Log r $ 0.25 \pm 0.11 $ $ -0.2 \pm 0.2 $ 183 N
$n_{\rm a}$ vs. r $ -1.90 \pm 0.9 \times 10^{-4}$ $ 0.09 \pm 0.04 $ 347.3 N
Log $n_{\rm a}$ vs. Log r $ -1.90 \pm 0.2 $ $ 3.4 \pm 0.5 $ 561.9 Y
Log $n_{\rm a}$ vs. Log (1 + z) $ -1.90 \pm 1.1 $ $ -0.3 \pm 0.3 $ 1213.6 N
v/c vs. r $ 1.30 \pm 0.3 \times 10^{-4}$ $ 0.006 \pm 0.003 $ 741.1 N
Log v/c vs. Log r $ 0.70 \pm 0.1 $ $ -3 \pm 0.2 $ 740.9 N
v/c vs. 1 + z $ 0.02 \pm 0.004 $ $ -0.01 \pm 0.006 $ 747.5 N
Log v/c vs. Log (1 + z) $ 1.50 \pm 0.4 $ $ -1.88 \pm 0.1 $ 966.9 N
Lj vs. r $ 0.01 \pm 0.03 $ $ 16 \pm 5 $ 364.8 N
Log Lj vs. Log r $ 0.60 \pm 0.2 $ $ 0.3 \pm 0.5 $ 710.6 N
Lj vs. 1 + z $ 36.50 \pm 9 $ $ -38 \pm 13 $ 280.1 N
Log Lj vs. Log (1 + z) $ 3.80 \pm 0.5 $ $ 0.72 \pm 0.11 $ 361.4 Y
The best fits to the radio source relationships for b = 0.25. Column 1: the relationship. v/c is the lobe expansion velocity, r is the core-hotspot separation, Lj ($\times $1044 erg s-1) is the beam power, $n_{\rm a}$ ( $\times 10^{-3}$ cm -3) is the ambient density, $T_{\rm T}$ is the source lifetime, and $E_{\rm T}$ is the total energy. Column 2: the best fit slope. Column 3: the best fit Y intercept. Column 4: the $\chi^2$ for 60 points and 58 degrees of freedom. Column 5: is there a correlation? The uncertainty of the best fit parameter is multiplied by $\sqrt{(\chi^2/58)}$ to obtain the normalized uncertainty in the best fit parameter, and this is compared with the value of the best fit parameter to determine whether the correlation is significant.

Source LaTeX | All tables | In the text

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